Stability analysis of holographic RG flows in 3d supergravity
Bogoliubov Laboratory of Theoretical Physics, JINR, Joliot-Curie Str. 6, 141980, Dubna, Russia
2 Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina Str. 8, 119991, Moscow, Russia
Accepted: 14 February 2023
Published online: 20 March 2023
We study holographic RG flows in a 3d supergravity model from the side of the dynamical system theory. The gravity equations of motion are reduced to an autonomous dynamical system. Then we find equilibrium points of the system and analyze them for stability. We also restore asymptotic solutions near the critical points. We find two types of solutions: with asymptotically AdS metrics and hyperscaling violating metrics. We write down possible RG flows between an unstable (saddle) UV fixed point and a stable (stable node) IR fixed point. We also analyze bifurcations in the model.
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